Critical thinking to me is really looking at the issue that needs to be solved and breaking it down into parts and determining what needs to be done, how it needs to be done, and when it needs to be done. It it analyzing the facts of the matter and determining my thoughts around it. It is being critical of what is offered and choosing to look deeper to determine if there is something more.
Creative thinking to me is allowing a bit more of the "think outside the box" side of me to come out. I think of it as pushing the boundaries in terms of what can be done, and being more open to new solutions we may not have tried before.
While there definitely can be overlap of critical and creative happening in the same challenge I approach I tend to have one approach or another at a time. Either I'm thinking creatively about something, or I'm being more critical in my approach.
Do we need to have students do both at the same time? Or is it good to have them just look at a problem one way or another?